STABILITY OF DENDRITIC ARRAYS

被引：114

作者：

WARREN, JA ^{[1
]}

LANGER, JS ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA, INST THEORET PHYS, SANTA BARBARA, CA 93106 USA

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.42.3518

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We propose an approximate method for studying steady-state properties and linear stability of the dendritic arrays that are formed in directional solidification of alloys. Our analysis is valid at high growth rates where the primary spacing between dendrites is larger than the velocity-dependent solutal diffusion length. We compute a neutral stability boundary and find that, in the situations where we expect our results to be valid, the experimental data of Somboonsuk, Mason, and Trivedi [Metall. Trans. A 15A, 967 (1984)] lie in the stable region, well away from the boundary. © 1990 The American Physical Society.

引用

页码：3518 / 3525

页数：8

共 10 条

[1] ABSENCE OF SELECTION IN DIRECTIONAL SOLIDIFICATION [J].

AMAR, MB ;

MOUSSALLAM, B .

PHYSICAL REVIEW LETTERS, 1988, 60 (04) :317-320

[2] SAFFMAN-TAYLOR FINGERS AND DIRECTIONAL SOLIDIFICATION AT LOW VELOCITY [J].

DOMBRE, T ;

HAKIM, V .

PHYSICAL REVIEW A, 1987, 36 (06) :2811-2817

[3]

Hunt J D, 1979, SOLIDIFICATION CASTI, P1

[4] PATTERN SELECTION IN FINGERED GROWTH PHENOMENA [J].

KESSLER, DA ;

KOPLIK, J ;

LEVINE, H .

ADVANCES IN PHYSICS, 1988, 37 (03) :255-339

[5] DENDRITE GROWTH AT THE LIMIT OF STABILITY - TIP RADIUS AND SPACING [J].

KURZ, W ;

FISHER, DJ .

ACTA METALLURGICA, 1981, 29 (01) :11-20

[6]

Kurz W., 1992, FUNDAMENTALS SOLIDIF

[7] INSTABILITIES AND PATTERN-FORMATION IN CRYSTAL-GROWTH [J].

LANGER, JS .

REVIEWS OF MODERN PHYSICS, 1980, 52 (01) :1-28

[8]

LANGER JS, 1987, CHANCE MATTER, P629

[9]

Pelce P., 1988, DYNAMICS CURVED FRON

[10] INTERDENDRITIC SPACING .1. EXPERIMENTAL STUDIES [J].

SOMBOONSUK, K ;

MASON, JT ;

TRIVEDI, R .

METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1984, 15 (06) :967-975

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